# Problem: An electron is to be accelerated in a uniform electric field having a strength of 2.00 × 106 V/m.(a) What energy in keV is given to the electron if it is accelerated through 0.400 m?(b) Over what distance would it have to be accelerated to increase its energy by 50.0 GeV?

###### FREE Expert Solution

The potential difference can be expressed as:

$\overline{){\mathbf{∆}}{\mathbf{V}}{\mathbf{=}}{\mathbf{-}}{\mathbf{E}}{\mathbf{d}}}$,

89% (195 ratings) ###### Problem Details

An electron is to be accelerated in a uniform electric field having a strength of 2.00 × 106 V/m.

(a) What energy in keV is given to the electron if it is accelerated through 0.400 m?

(b) Over what distance would it have to be accelerated to increase its energy by 50.0 GeV?

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